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Finding the Third Proportional to 738,977 and 1,599,409

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Solution

The third proportional to 738,977 and 1,599,409 is: 3,461,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,977 : 1,599,409 = 1,599,409 : x
  2. Step 2: Convert to fraction form
    738,977/1,599,409 = 1,599,409/x
  3. Step 3: Cross multiply
    738,977x = 1,599,409 × 1,599,409
  4. Step 4: Simplify right side
    738,977x = 2,558,109,149,281
  5. Step 5: Solve for x
    x = 2,558,109,149,281/738,977
  6. Step 6: Final answer
    x = 3,461,689.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.